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Using section formula, prove that the th...

Using section formula, prove that the three points `(-4,6,10)`,`(2,4,6)` and `(14,0,-2)` are collinear.

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V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Find the equation of the set of points P, the sum of whose distance fr...

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  2. Find the coordinates of the point which divides the line segment joini...

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  3. Using section formula, prove that the three points (-4,6,10),(2,4,6) a...

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  4. Write the coordinate of the centroid of the triangle whose vertices ar...

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  5. Consider a point A(4,8,10) in space.Find the ratio in which the line s...

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  6. Find the coordinates of the point which divides the line segment joini...

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  7. Given that P(3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the...

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  8. Find the ratio in which the YZ-plane divides the line segment formed b...

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  9. Using section formula, show that the points A(2,-3,4) , B(-1,2,1) and ...

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  10. Find the coordinates of the points which trisect the line segment joi...

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  11. Show that the points A(1,2,3),B(-1,-2,-1), C(2,3,2) and D(4,7,6) are t...

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  12. Find the equation of the set of points such that its distances from th...

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  13. The centroid of a triangle ABC is at the point (1,1,1), If the coordin...

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  14. Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C...

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  15. Find the lengths of the medians of the triangle with vertices A(0,0,6...

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  16. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

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  17. Find the coordinates of a point on y -axis which are at a distance of ...

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  18. Find the equation of set of point P such that P A^2+P B^2=2 k^2, where...

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  19. Find the distance between the points P(-2,4,1).and Q(1,2,-5).

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  20. Prove by using distance formula that the A(1,2,3),B(-1,-1,-1) and C(...

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